Answer number 1 and 2

Fish Population Growth The general discrete-time dynamical system model for a sh population assumes a per capita production rate given by p(N) :2 m, where N is the number of sh in tens of millions ' R (i.e., N = 5 means 50,000,000 sh). The value of r, the maximal possible reproduction rate, depends on the particular species of sh and environmental factors. The discrete-time dynamical system that describes the development of a sh population N: is given by: Use this for problems 1 and 2. Assume that the unit for t is years. That is, t = 1 means one year. 1. Suppose that for Atlantic cod, 7' = 2.5. What are the equilibria points in this case? (Solve for your answer algebraically.) 2. Determine the stability of each equilibria point found in the problem 1, using the derivative test (see the lesson Logistic Equation)